What is the Greatest Common Factor of 35805 and 35825?

Greatest common factor (GCF) of 35805 and 35825 is 5.

GCF(35805,35825) = 5

We will now calculate the prime factors of 35805 and 35825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35805 and 35825.

How to find the GCF of 35805 and 35825?

We will first find the prime factorization of 35805 and 35825. After we will calculate the factors of 35805 and 35825 and find the biggest common factor number .

Step-1: Prime Factorization of 35805

Prime factors of 35805 are 3, 5, 7, 11, 31. Prime factorization of 35805 in exponential form is:

35805 = 3¹ × 5¹ × 7¹ × 11¹ × 31¹

Step-2: Prime Factorization of 35825

Prime factors of 35825 are 5, 1433. Prime factorization of 35825 in exponential form is:

35825 = 5² × 1433¹

Step-3: Factors of 35805

List of positive integer factors of 35805 that divides 35805 without a remainder.

1, 3, 5, 7, 11, 15, 21, 31, 33, 35, 55, 77, 93, 105, 155, 165, 217, 231, 341, 385, 465, 651, 1023, 1085, 1155, 1705, 2387, 3255, 5115, 7161, 11935

Step-4: Factors of 35825

List of positive integer factors of 35825 that divides 35805 without a remainder.

1, 5, 25, 1433, 7165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35805 and 35825. The biggest common factor number is the GCF number.
So the greatest common factor 35805 and 35825 is 5.

Also check out the Least Common Multiple of 35805 and 35825